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A Study of Nonlinear Fractional Differential Equations of Arbitrary Order with Riemann-Liouville Type Multistrip Boundary Conditions

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  • Bashir Ahmad
  • Sotiris K. Ntouyas
  • Ahmed Alsaedi

Abstract

We develop the existence theory for nonlinear fractional differential equations of arbitrary order with Riemann-Liouville type boundary conditions involving nonintersecting finite many strips of arbitrary length. Our results are based on some standard tools of fixed point theory. For the illustration of the results, some examples are also discussed.

Suggested Citation

  • Bashir Ahmad & Sotiris K. Ntouyas & Ahmed Alsaedi, 2013. "A Study of Nonlinear Fractional Differential Equations of Arbitrary Order with Riemann-Liouville Type Multistrip Boundary Conditions," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, March.
    • Handle: RePEc:hin:jnlmpe:320415
    DOI: 10.1155/2013/320415
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    Cited by:

    1. Surang Sitho & Chayapat Sudprasert & Sotiris K. Ntouyas & Jessada Tariboon, 2020. "Noninstantaneous Impulsive Fractional Quantum Hahn Integro-Difference Boundary Value Problems," Mathematics, MDPI, vol. 8(5), pages 1-15, April.
    2. Ahmad, Bashir & Ntouyas, Sotiris K. & Alsaedi, Ahmed, 2016. "On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 234-241.
    3. Bashir Ahmad & Ymnah Alruwaily & Ahmed Alsaedi & Sotiris K. Ntouyas, 2019. "Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions," Mathematics, MDPI, vol. 7(3), pages 1-14, March.

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